`BookProof.SmBrstGhost.embedMatter_sum` {m : ℕ} {ι : Type*} (s : Finset ι) (M : ι → Matrix (Fin m) (Fin m) ℂ) : embedMatter m (∑ t ∈ s, M t) = ∑ t ∈ s, embedMatter m (M t)
ProvedBookProof.SmBrstGhost.embedMatter_sumtheoremstimepiece
Prove the following Lean 4 theorem from ChapterSmBrstGhost.
BookProof.SmBrstGhost.embedMatter_sum {m : ℕ} {ι : Type*} (s : Finset ι) (M : ι → Matrix (Fin m) (Fin m) ℂ) : embedMatter m (∑ t ∈ s, M t) = ∑ t ∈ s, embedMatter m (M t)
Formalization note: Lean 4 identifier BookProof.SmBrstGhost.embedMatter_sum.
Preamble
-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.embedMatter_sum
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsSU3
import Mathlib
import Definitions.Def_ChapterSmBrstGhost
open BookProof.SmBrstGhost
open BookProof.SmCar BookProof.BRSTNilpotent BookProof.YangMillsSU3
noncomputable section
variable {m : ℕ}
variable {R : Type*} [Ring R] [Algebra ℝ R] {n : ℕ}
variable {N : ℕ}Formal statement
theorem BookProof.SmBrstGhost.embedMatter_sum {m : ℕ} {ι : Type*} (s : Finset ι) (M : ι → Matrix (Fin m) (Fin m) ℂ) :
embedMatter m (∑ t ∈ s, M t) = ∑ t ∈ s, embedMatter m (M t) := by sorry